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To date, all proposed quantum algorithms for simulating quantum field theory (QFT) simulate (continuous-time) Hamiltonian lattice QFT as a stepping stone.
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Lattice study of the conformal window in qcd-like theories
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Quantum algorithms for quantum field theories
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S. P. Jordan, K. S. M. Lee, and J. Preskill · 2014
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Multiscale quantum simulation of quantum field theory using wavelets
U(1) wilson lattice gauge theories in digital quantum simulators
C. Muschik, M. Heyl, E. Martinez, T. Monz, P. Schindler, B. Vogell, M. Dalmonte, P. Hauke, R. Blatt, and P. Zoller · 2017
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U(1) wilson lattice gauge theories in digital quantum simulators
C. Muschik, M. Heyl, E. Martinez, T. Monz, P. Schindler, B. Vogell, M. Dalmonte, P. Hauke, R. Blatt, and P. Zoller · 2017
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Quantum cellular automata and free quantum field theory
G. M. D’Ariano and P. Perinotti · 2017
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BQP-completeness of scattering in scalar quantum field theory
S. P. Jordan, H. Krovi, K. S. M. Lee, and J. Preskill · 2018
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Simulating quantum field theory with a quantum computer
J. Preskill · 2018
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Thirring quantum cellular automaton
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G. K. Brennen, P. Rohde, B. C. Sanders, and S. Singh · 2015
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Quantum simulation of quantum field theory using continuous variables
K. Marshall, R. Pooser, G. Siopsis, and C. Weedbrook · 2015
Cited alongside, same era.
Insights from Quantum Information into Fundamental Physics
T. C. Farrelly · 2015
Cited alongside, same era.
Quantum field as a quantum cellular automaton: the Dirac free evolution in one dimension
A. Bisio, G. M. D’Ariano, and A. Tosini · 2015
Cited alongside, same era.
Weyl, Dirac and Maxwell quantum cellular automata
A. Bisio, G. M. D’Ariano, P. Perinotti, and A. Tosini · 2015
Cited alongside, same era.
Free quantum field theory from quantum cellular automata: derivation of Weyl, Dirac and Maxwell quantum cellular automata
A. Bisio, G. M. D’Ariano, P. Perinotti, and A. Tosini · 2015
Cited alongside, same era.
Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
E. A. Martinez, C. A. Muschik, P. Schindler, D. Nigg, A. Erhard, M. Heyl, P. Hauke, M. Dalmonte, T. Monz, P. Zoller, and R. Blatt · 2016
Cited alongside, same era.
A. Bisio, G. M. D’Ariano, P. Perinotti, and A. Tosini · 2018
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σ \sigma models on quantum computers
A. Alexandru, P. F. Bedaque, H. Lamm, and S. Lawrence · 2019
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A. H. Moosavian, J. R. Garrison, and S. P. Jordan · 2019
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Scalar quantum field theories as a benchmark for near-term quantum computers
K. Yeter-Aydeniz, E. F. Dumitrescu, A. J. McCaskey, R. S. Bennink, R. C. Pooser, and G. Siopsis · 2019
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Simulating lattice gauge theories within quantum technologies
M. C. Bañuls, R. Blatt, J. Catani, A. Celi, J. I. Cirac, M. Dalmonte, L. Fallani, K. Jansen, M. Lewenstein, S. Montangero, C. A. Muschik, B. Reznik, E. Rico, L. Tagliacozzo, K. Van Acoleyen, F. Verstraete, U.-J. Wiese, M. Wingate, J. Zakrzewski, and P. Zoller · 2019
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A review of quantum cellular automata
T. Farrelly · 2019
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An overview of quantum cellular automata
P. Arrighi · 2019
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Digitization of scalar fields for quantum computing
N. Klco and M. J. Savage · 2019
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Scattering and perturbation theory for discrete-time dynamics
A. Bisio, N. Mosco, and P. Perinotti · 2019
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http://functions.wolfram.com/EllipticIntegrals/EllipticK/introductions/CompleteEllipticIntegrals/05/
Complete elliptic integral of the first kind: introduction to the complete elliptic integrals · 2019
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A quantum cellular automaton for one-dimensional QED
P. Arrighi, C. Bény, and T. Farrelly · 2020
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